State engineering for a Bose-Einstein condensate in an optical lattice by means of a periodic sublattice of dissipative sites

Shchesnovich, V. S.

doi:10.1103/physreva.85.053616

Cited by 4 publications

(4 citation statements)

References 30 publications

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“…As discussed previously [11], besides application to the propagation of light in photonic crystals, our results can have applications in other branches of physics as, for instance, in the field of cold atoms and Bose-Einstein condensates in the spatially periodic traps created with laser beams, where externally controlled removal of atoms serves as dissipation (see, for instance, [15,16], the removal of atoms can be done by a set of ordered electron beams with the use of the electron microscopy technique of [17,18]). In the Bose-Einstein condensates, the nondecaying modes illustrate also a very slow decay of the condensate subject to an external dissipation, i.e.…”

Section: Introductionmentioning

confidence: 65%

Nondecaying linear and nonlinear modes in a periodic array of spatially localized dissipations

Fernández¹,

Shchesnovich²

2014

J. Phys. A: Math. Theor.

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We demonstrate the existence of extremely weakly decaying linear and nonlinear modes (i.e. modes immune to dissipation) in the one-dimensional periodic array of identical spatially localized dissipations, where the dissipation width is much smaller than the period of the array. We consider wave propagation governed by the one-dimensional Schrödinger equation in the array of identical Gaussian-shaped dissipations with three parameters, the integral dissipation strength Γ 0 , the width σ and the array period d. In the linear case, setting σ → 0, while keeping Γ 0 fixed, we get an array of zero-width dissipations given by the Dirac delta-functions, i.e. the complex Kroning-Penney model, where an infinite number of nondecaying modes appear with the Bloch index being either at the center, k = 0, or at the boundary, k = π/d, of an analog of the Brillouin zone. By using numerical simulations we confirm that the weakly decaying modes persist for σ such that σ/d ≪ 1 and have the same Bloch index. The nondecaying modes persist also if a real-valued periodic potential is added to the spatially periodic array of dissipations, with the period of the dissipative array being multiple of that of the periodic potential. We also consider evolution of the soliton-shaped pulses in the nonlinear Schrödinger equation with the spatially periodic dissipative lattice and find that when the pulse width is much larger than the lattice period and its wave number k is either at the center, k = 2π/d, or at the boundary, k = π/d, a significant fraction of the pulse escapes the dissipation forming a stationary nonlinear mode with the soliton shaped envelope and the Fourier spectrum consisting of two peaks centered at k and −k.

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Section: Introductionmentioning

confidence: 65%

Nondecaying linear and nonlinear modes in a periodic array of spatially localized dissipations

Fernández¹,

Shchesnovich²

2014

J. Phys. A: Math. Theor.

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“…localized, with the width σ W d, either at A-sites or B-sites of the lattice, respectively (this approach was successfully applied in ref. [14]). We introduce the Bloch-like A-waves and B-waves as follows:…”

Section: And 4 Below)mentioning

confidence: 99%

“…For instance, such is the case of the complex-valued or pure imaginary potentials [11][12][13], where nontrivial properties of diffraction were found. Recently it was understood that a periodically ordered dissipation acting in a deep optical lattice can drive BEC to a spatially coherent and extremely slowly decaying structure [14]: a BEC loaded into a dissipative honeycomb lattice is driven to a coherent state with a vortex-like phase distribution.…”

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confidence: 99%

Nondecaying Bloch modes of a dissipative lattice

Shchesnovich

2012

EPL

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We consider a Bose-Einstein condensate in a periodic optical lattice having a periodic sublattice of dissipative sites (which we call the dissipative lattice). The optical analog of this system consisting of lossy optical waveguides arranged in a checkerboard order is also presented. Using numerical simulations within the mean-field theory we demonstrate the existence of nondecaying (or propagating, in optical applications) Bloch-like coherent modes, which are eigenstates of the non-Hermitian operator with the dissipative lattice serving as a spatially periodic potential. The nondecaying modes have the Bloch index confined to the boundary of the Brillouin zone of the dissipative lattice. Besides the numerical simulations for a finite lattice, we use the Fourier space perturbation theory for a weak dissipative lattice and the single-band tight-binding approximation for a strong lattice to show that the effect is a universal property of the dissipative lattice.

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“…Among different proposals of coherent adiabatic QST, there exist applications for the transport of quantum particle in 2D lattice [23,41], realizing long-range quantum state transfer [24,25,30,31,36], and manipulating Bose-Einstein condensates [28,32]. We also notice that there exist some schemes to the discussion of decoherence on the population transfer efficiency [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59]. In such proposals, one has to take into account the competition between the time required for adiabaticity and the dissipation time scales.…”

Section: Introductionmentioning

confidence: 99%

High-fidelity quantum state transfer through a dissipative quantum data bus

Huang

Chen

2020

Commun. Theor. Phys.

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We propose and analyze a robust quantum state transfer protocol through a scalable quantum data bus that consists of a network of controlled dissipative modules. In particular, we first demonstrate the ability to achieve perfect state transfer between two distinct quantum sites which are adiabatically coupled to the data bus in non-dissipative situation. We then consider the role of dissipation in adiabatic quantum state transfer via using Born–Markov master equation in the standard Lindblad form. Numerical simulation shows that the dissipation effect on the quality of transmission can be suppressed by engineering the network couplings of data bus properly.

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State engineering for a Bose-Einstein condensate in an optical lattice by means of a periodic sublattice of dissipative sites

Cited by 4 publications

References 30 publications

Nondecaying linear and nonlinear modes in a periodic array of spatially localized dissipations

Nondecaying linear and nonlinear modes in a periodic array of spatially localized dissipations

Nondecaying Bloch modes of a dissipative lattice

High-fidelity quantum state transfer through a dissipative quantum data bus

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